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प्रश्न
Ankita started paying Rs 400 per month in a 3 years recurring deposit. After six months her brother Anshul started paying Rs 500 per month in a `2(1)/(2)` years recurring deposit. The bank paid 10% p.a. simple interest for both. At maturity who will get more money and by how much?
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उत्तर
In case of Ankita,
Deposit per month = Rs 400
Period (n) = 3 years = 36 months
Rate of interest = 10%
Total principal for one month
= `400 xx ("n"("n" + 1))/(2)`
= `400 xx (36(36 + 1))/(2)`
= `₹(400 xx 36 xx 37)/(2)`
= ₹ 266400
Interest
= `"prt"/(100)`
= `(266400 xx 10 xx 1)/(100 xx 12)`
= ₹ 2220
∴ Amount of maturity
= ₹ 400 × 36 + ₹ 2220
= ₹ 14400 + ₹ 2220
= ₹ 16620
In case of Anshul,
Deposit P.m. = ₹ 500
Rate of interest = 10%
Period (n) = `2(1)/(2)` year = 30months
∴ Total principal for one month
= `₹500 xx ("n"("n" + 1))/(2)`
= `500 xx (30(30 + 1))/(2)`
= `₹(500 xx 30 xx 31)/(2)`
= ₹ 232500
Interest
= `(232500 xx 10 xx 1)/(100 xx 12)`
= ₹ 1937.50
Amount of maturity
= ₹ 500 × 30 + ₹ 1937.50
= ₹ 15000 + ₹ 1937.50
= ₹ 16937.50
At maturity Anshul will get more amount
DIfference
= ₹ 16937.50 - ₹ 16620.00
= ₹ 317.50.
संबंधित प्रश्न
Mr. Richard has a recurring deposit account in a bank for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8325 interest at the time of maturity, find:
- The monthly deposit
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A page from a passbook of savings bank account is given below:
| Date | Particulars | Amount Withdrawn (In Rs) |
Amount Deposits (In Rs) |
Balance (In Rs) |
| 09.08.1999 11.08.1999 05.10.1999 10.10.1999 27.11.1999 29.11.1999 |
By Cash By Cheque To Cheque By Cash By Cheque By Cash |
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10,000 5,000 - 17,000 - 3,000 |
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| Feb 13 | By Cash | 500.00 | 500.00 | |
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| Feb 13 | To self | 500.00 | ||
| March 24 | By cheque | 2,000.00 | ||
| March 31 | By Interest | |||
| May 20 | By cash | 800.00 | ||
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| July 18 | By cash | 1,600.00 | ||
| Sept 15 | To Cheque | 3,200.00 | ||
| Sept 26 | By Cheque | 2,350.00 |
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